What are the Benefits of Self-Directed Learning in Math and Physics?

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I'm a teenager eager to learn more about math and physics. As a self-directed learner, I'm particularly interested in calculus and linear algebra. I'm thrilled to be part of this community and look forward to gaining knowledge and engaging in enriching discussions. Your expertise and insights will be invaluable to my growth. Thank you in advance for your guidance!
 
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Welcome to PF; it's good to have you here! :smile:
 

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Hello there, and nice to meet all of you! My name is Olga, I am from Russia. I have a PhD in laser physics, and I work at the local university. I study chalcogenide lasers. I am a pure experimentalist, and I love working with my hands, et cetera, and I do math only when I have to. Sometimes I work with biologists. I do nothing exciting in research, and after my defence, I hardly can call myself a scientist because we have a lack of financial support, and most of my time I spend on teaching...
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